I have a comfort zone furnace. If it's 50 degrees in the house, and i set my thermostat to 70 or so,it takes at least 24 hours to reach 70 degrees. The furnace starts up and runs normally for about five mins. or so then shuts down as if it has reached the desired temp (70 Degrees). After a few hours the temp will increase only 1 or 2 degrees. It cycles on and off, but I think it should run until it reaches the desired temp, and then cycle on and off to maintain the 70 degree temp. Why does it cycle on and off if it still has 10 to 20 degrees to go, instead of staying on until it reaches 70 degrees? I replaced my electronic thermostat with a brand new one, but that was just a waste of money. I still have the same problem. Any ideas? Still need a solution for this problem?

Question edited for clarity and spelling.

Disconnect from the mains supply for an hour and then fully reprogram.

https://www.google.com/search?q=Comfort+II+thermostat+changes+all+the+zones+to+%22out%22

COMFORT ZONE II - E. Smith Heating & Air Conditioning

https://esmithair.com > uploads > 2015/03 > Comf...
PDF
From the normal operation mode, press the Hold, Out, and All Zone buttons in that order to program all zones to an unoccupied status. Until you return, the air ...
24 pages

..

Some thermostats have a swing setting that can be adjusted. A swing is the setting when you want the furnace to stop or start from the desired set point. For example, you set your thermostat at 70 and the swing is set at 10 degrees. Then the furnace will turn on 5 degrees below 70 and shut off 5 degrees above 70. Check you thermostats manual if it has this option.

Does the furnace stays off?.
Furnace are ment to cycle on and off because of limits .If you set to 70 furnace would cycle several times before reaching that temperature.
Just make sure your filters are clean and you got proper return air flow because lack of air flow will cause furnace to shut off sooner than normal

Since it's within 2 degrees of your setting it could be one of two things. Most furnaces run longer (pass your setting) to maintain the setting you made. Which really not a problem. However, your thermostat may need calibrating. To test this theory, place a regular wall thermometer next to your furnace's thermostat and see if the two temps match when the furnace cuts on and then when it cuts off.
If the temps are both the same, the furnace thermostat is fine.

If you're turning it down to 68, because no one will be at home during the day, just set it 2 degrees cooler than 68 degrees. You will then wind up with 68 degrees.

Setting a thermostat has nothing to do with outdoor temperature, but more to do with what is a comfortable setting for you and your utility bill.

A common misconception associated with thermostats is that a furnace works harder than normal to warm the space back to a comfortable temperature after the thermostat has been set back, resulting in little or no savings. This misconception has been dispelled by years of research and numerous studies. The fuel required to reheat a building to a comfortable temperature is roughly equal to the fuel saved as the building drops to the lower temperature. You save fuel between the time that the temperature stabilizes at the lower level and the next time heat is needed. So, the longer your house remains at the lower temperature, the more energy you save.

Another misconception is that the higher you raise a thermostat, the more heat the furnace will put out, or that the house will warm up faster if the thermostat is raised higher. Furnaces put out the same amount of heat no matter how high the thermostat is set; the variable is how long it must stay on to reach the set temperature.

In the winter, significant savings can be obtained by manually or automatically reducing your thermostat's temperature setting for as little as four hours per day. These savings can be attributed to a building's heat loss in the winter, which depends greatly on the difference between the inside and outside temperatures. For example, if you set the temperature back on your thermostat for an entire night, your energy savings will be substantial. By turning your thermostat back 10 to 15 degrees for 8 hours, you can save about 5 to 15 percent a year on your heating bill -- a savings of as much as 1 percent for each degree if the setback period is eight hours long.
Hope this helps..........

sounds like a furnace problem - the zone control sounds right

go to myhome.honeywell.com and search for a manual for your model number thermostat on the right hand side of the page

Is this an electric or gass furnace - Eather of these can can have this problem its most recomendable that you call a seviceman .
in the case of electric furnace you may requier a new heat sequencer. And in the case of gass you may requier a new relay.

this is called a swing tempature it is desined to improve the eficincey of the frnace because it take less energy to run an hour in a three hours then 3 bursts of 25 min in a three hour period

HOWEVER if you do not like this you can usualy set the swing temp

Well with a boiler system like you have it will cost you more money to heat your house that way than if you leave it like it is. With a boiler system it takes a lot longer to heat an area than with a furnace. The best thing you can do is find a happy medium and leave it there at all times. If you read the paper work on your new thermostats they have a set procedure which tells the thermostat if you have forced air or boiler system. Do you have baseboard or in-floor heat how many zones do you have.